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Finding the Fourth Proportional to 359.96, 498.63 and 352.67

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Solution

The fourth proportional to 359.96, 498.63 and 352.67 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 498.63 = 352.67 : x
  2. Step 2: Convert to fraction form
    359.96/498.63 = 352.67/x
  3. Step 3: Cross multiply
    359.96x = 498.63 × 352.67
  4. Step 4: Simplify right side
    359.96x = 175,850.08
  5. Step 5: Solve for x
    x = 175,850.08/359.96
  6. Step 6: Final answer
    x = 488.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.